cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A195856 a(n) = T(10,n), array T given by A048505.

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%I A195856 #16 Sep 08 2022 08:45:59
%S A195856 1,122,387,965,2221,4941,10813,23453,50589,108701,232861,497565,
%T A195856 1060765,2256797,4792221,10157981,21495709,45416349,95813533,
%U A195856 201850781,424673181,892338077,1872756637,3925868445,8220835741,17196646301
%N A195856 a(n) = T(10,n), array T given by A048505.
%H A195856 Vincenzo Librandi, <a href="/A195856/b195856.txt">Table of n, a(n) for n = 0..2000</a>
%H A195856 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (7,-18,20,-8).
%F A195856 a(n) = (n^2+41*n+400)*2^(n-2)-99.
%F A195856 a(n) = 7*a(n-1)-18*a(n-2)+20*a(n-3)-8*a(n-4). - _Colin Barker_, Feb 25 2015
%F A195856 G.f.: (432*x^3-449*x^2+115*x+1) / ((x-1)*(2*x-1)^3). _Colin Barker_, Feb 25 2015
%t A195856 LinearRecurrence[{7,-18,20,-8},{1,122,387,965},30] (* _Harvey P. Dale_, Dec 29 2014 *)
%o A195856 (Magma) [(n^2+41*n+400)*2^(n-2)-99: n in [0..30]]
%o A195856 (PARI) a(n)=(n^2+41*n+400)<<(n-2)-99 \\ _Charles R Greathouse IV_, Dec 27 2011
%o A195856 (PARI) Vec((432*x^3-449*x^2+115*x+1) / ((x-1)*(2*x-1)^3) + O(x^100)) \\ _Colin Barker_, Feb 25 2015
%Y A195856 Cf. A048506, A048507, A048508, A048509, A048510, A048511, A048512, A048513, A048514, A048515, A195855.
%K A195856 nonn,easy,less
%O A195856 0,2
%A A195856 _Vincenzo Librandi_, Sep 25 2011